Question: How do you formulate a LP for this? Case Problem WEEMow LAWN SERVICE WeeMow Lawn Service provides lawn service, includ- ing mowing lawns and lawn

How do you formulate a LP for this? Case ProblemHow do you formulate a LP for this?

Case Problem WEEMow LAWN SERVICE WeeMow Lawn Service provides lawn service, includ- ing mowing lawns and lawn care, landscaping, and lawn maintenance, to residential and commercial customers in the Draper town community. In the summer WeeMow has three teams that it schedules daily for jobs. Team 1 has five members, team 2 has four members, and team 3 has three members. On a normal summer day WeeMow will have approximately 14 jobs. Each team works 10 hours a day, but because of the heat plus work breaks, each team actu- ally works only 45 minutes out of every hour. The follow- ing table shows the times (in minutes) and costs in dollars) required for each team to complete the 14 jobs for a specific day. Team 1 Team 2 Team 3 Job Time (min.) Cost (5) Time (min.) Cost (5) Time (min.) Cost ($) 45 67 90 61 75 65 A B D E F G H I J K L M N 48 70 94 65 80 55 70 72 100 65 55 118 90 67 65 72 105 78 93 70 83 84 110 78 64 135 107 81 55 60 84 65 75 65 70 74 90 65 57 110 98 72 78 85 125 97 107 95 110 100 130 95 84 155 125 102 50 55 75 60 66 60 67 65 80 62 56 95 75 68 95 60 47 114 85 63 The WeeMow manager wants to develop a schedule of team assignments to the jobs for this day. Formulate and solve a linear programming model to determine the assign- ments of teams to jobs that will minimize total job time for the day, given a daily budget of $1,000. Indicate how many minutes each crew will work during the day. Next, refor- mulate and solve this model if cost minimization is the ob- jective. Of these two models, which one do you think the manger should select and why

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